Write a simpler expression for z = ln(4x^4 + 11x^3) + ln(1/5x^3) which does not involve any powers on x which are bigger than 1. I have no idea how to simplify the first natural log since it has two x values with exponents.
4x^4+11x^3 = x^3 (4x+11)
so, the log is
3lnx + ln(4x+11)
ln(1/5 x^3) = ln(1/5)+3lnx = 3lnx - ln5
z = 6lnx + ln(4x+11) - ln5